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# What are proper factors?

Updated: 4/28/2022

Wiki User

6y ago

Factors are the numbers that evenly divide into a given number.

Proper factors are all the factors of the number except the number itself. Some definitions do not allow the number 1, either. If you distinguish between proper factors and proper divisors, proper factors do not include 1, but proper divisors do.

Examples:

All factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

Proper factors of 54 are 2, 3, 6, 9, 18, and 27.

Proper divisors of 54 are 1, 2, 3, 6, 9, 18, and 27.

All factors of 9 are 1, 3, and 9.

Proper factors of 9 are only 3.

Proper divisors of 9 are 1 and 3.

All factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Proper factors of 30 are 2, 3, 5, 6, 10, and 15.

Proper divisors of 30 are 1, 2, 3, 5, 6, 10, and 15.

All factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Proper factors of 100 are 2, 4, 5, 10, 20, 25, and 50.

Proper divisors of 100 are 1, 2, 4, 5, 10, 20, 25, and 50.

All factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

Proper factors of 120 are 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60.

Proper divisors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60.

Wiki User

6y ago

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Related questions

### Do all proper factors have some factors that you can multiply to get another proper factor?

No. Some proper factors are prime.

### What are the proper factors for the number 1?

One has no proper factors.

### What are proper factors for 1?

1 doesn't have proper factors.

### Does three have proper factors?

No, no prime number has proper factors.

### What is the difference between factors and proper factors?

Proper factors do not include one and the number itself.

### Proper factors of 31?

Prime numbers don't have proper factors.

### What are the proper factors of 26?

The proper factors of 26 are 2 and 13

### What are the proper factors for 7?

Prime numbers don't have proper factors.

### What are the proper factors of 89?

Prime numbers don't have proper factors.

### What are the proper factors of 22?

The proper factors of 22 are 2 and 11.

### What are the proper factors for 13?

Prime numbers don't have proper factors.

### What are the proper factors of 0?

Zero doesn't have any proper factors.